PSABM6N7 - Student Facing Task---Acc7.3 Lesson 10 Different Options for Solving One Equation (7.NS.A, 7.EE.B.4.a)
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Part A)

Solve each equation

 

100(x - 3) = 1000

 

x = _____ 

 

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Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part B)

Solve each equation

 

500(x - 3) = 5000

 

x = _____ 

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part C)

Solve each equation

 

0.03(x - 3) = 0.3

 

x = _____

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part D)

Solve each equation

 

0.72(x + 2) = 7.2

 

x = _____ 

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):

Three students each attempted to solve the equation 2(x - 9) = 10, but got different solutions. Here are their methods. Do you agree with any of their methods, and why?

 

Noah's Method:

2(x - 9) = 10

2(x - 9) + 9 = 10 + 9 (add 9 to each side)

2x = 19

2x / 2 = 19 / 2 (divide each side by 2)

x = 

 

Elena's method:

2(x - 9) = 10

2x - 18 = 10 (apply the distributive property)

2x - 18 - 18 = 10 - 18

2x = -8

2x / 2 = -8 / 2 (divide each side by 2)

x = -4

 

Andre's method

2(x - 9) = 10

2x - 18 = 10 (apply the distributive property)

2x - 18 + 18 = 10 + 18 (add 18 to each side)

2x = 28

2x / 2 = 28 / 2 (divide each side by 2)

x = 14

 

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Part A)

For each equation, try to solve the equation using each method (dividing each side first, or applying the distributive property first). Some equations are easier to solve by one method than the other. When that is the case, stop doing the harder method and write down the reason you stopped.

 

2000(x - 0.03) = 6000

 

x = _____ 

 

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Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part B)

2(x + 1.25) = 3.5

 

x = _____

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part C)

 

x = _____

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part D)

-10(x - 1.7) = -3

 

x = _____

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part E)

5.4 = 0.3(x + 8)

 

x = _____

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part F)

Which method did you use to solve each equation? Why did you use that method? 

Type your answer below: